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Finding the Fourth Proportional to 1,354.86, 2,020.59 and 1,327.41

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Solution

The fourth proportional to 1,354.86, 2,020.59 and 1,327.41 is: 1,979.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.86 : 2,020.59 = 1,327.41 : x
  2. Step 2: Convert to fraction form
    1,354.86/2,020.59 = 1,327.41/x
  3. Step 3: Cross multiply
    1,354.86x = 2,020.59 × 1,327.41
  4. Step 4: Simplify right side
    1,354.86x = 2,682,151.37
  5. Step 5: Solve for x
    x = 2,682,151.37/1,354.86
  6. Step 6: Final answer
    x = 1,979.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.